153342240 has 96 divisors (see below), whose sum is σ = 487964736. Its totient is φ = 40473600.

The previous prime is 153342209. The next prime is 153342269. The reversal of 153342240 is 42243351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153342240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46899 + ... + 50061.

It is an arithmetic number, because the mean of its divisors is an integer number (5082966).

Almost surely, 2^153342240 is an apocalyptic number.

153342240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243982368).

153342240 is an abundant number, since it is smaller than the sum of its proper divisors (334622496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153342240 is a wasteful number, since it uses less digits than its factorization.

153342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 153342240 is about 12383.1433812259. The cubic root of 153342240 is about 535.2466210915.

Adding to 153342240 its reverse (42243351), we get a palindrome (195585591).

The spelling of 153342240 in words is "one hundred fifty-three million, three hundred forty-two thousand, two hundred forty".